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Finding the Fourth Proportional to 10,577.70, 14,598.24 and 5,861.97

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Solution

The fourth proportional to 10,577.70, 14,598.24 and 5,861.97 is: 8,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.70 : 14,598.24 = 5,861.97 : x
  2. Step 2: Convert to fraction form
    10,577.70/14,598.24 = 5,861.97/x
  3. Step 3: Cross multiply
    10,577.70x = 14,598.24 × 5,861.97
  4. Step 4: Simplify right side
    10,577.70x = 85,574,444.93
  5. Step 5: Solve for x
    x = 85,574,444.93/10,577.70
  6. Step 6: Final answer
    x = 8,090.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.